809427943506240 has 168 divisors, whose sum is σ = 2905142467039488. Its totient is φ = 206462779776000.

The previous prime is 809427943506229. The next prime is 809427943506241. The reversal of 809427943506240 is 42605349724908.

809427943506240 is a `hidden beast` number, since 8 + 0 + 9 + 4 + 279 + 4 + 350 + 6 + 2 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809427943506241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6109746136 + ... + 6109878615.

Almost surely, 2^{809427943506240} is an apocalyptic number.

809427943506240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

809427943506240 is an abundant number, since it is smaller than the sum of its proper divisors (2095714523533248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

809427943506240 is a wasteful number, since it uses less digits than its factorization.

809427943506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219624797 (or 12219624784 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 809427943506240 in words is "eight hundred nine trillion, four hundred twenty-seven billion, nine hundred forty-three million, five hundred six thousand, two hundred forty".